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Question
Find the single discount equivalent to the discount series of 5%, 7%, and 9%.
Solution
Let the marked price be ₹ 100
After 1st discount the price = `100(1 - 5/100) = 95`
After the 2nd discount the price = `95(1 - 7/100)`
= `(95 xx 93)/100`
After 3rd discount the price = `(95 xx 93)/100(1 - 9/100)`
= `(95 xx 93 xx 91)/(100 xx 100)`
= `803985/10000`
= 80.3985
≈ 80.4
The selling price after 3 discounts is ₹ 80.4
∴ Single equivalent discount
= Marked price – Selling price
= 100 – 80.4
= ₹ 19.6
∴ Single equivalent discount is 19.6%
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